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Decompositions of simple singularities of real functions. (Russian) Zbl 0667.58004
In 1976 O. V. Lyashko [Funkts. Anal. Prilozh. 10, No.2, 49-56 (1976; Zbl 0351.32013)] completely described the decompositions of simple singularities of complex functions in terms of Dynkin diagrams. The present paper solves the analogous problem for real functions by using the analogue of Dynkin diagrams for the real singularities, the so-called R-diagrams. Also included are: (1) A complete description of the R- diagrams of simple singularities; and (2) a table of decompositions of simple singularities of small multiplicity.
Reviewer: D.Repovš

58C25 Differentiable maps on manifolds
58K99 Theory of singularities and catastrophe theory